Respuesta :
Answer:
the 6th week. The answer was computed using the geometric progression to establish the pattern of sales.
Step-by-step explanation:
Given that the school cafeteria sold 1,280 slices of pizza the first week, 640 the second week, and 320 the third week. We may show this as a sequence
1280, 640, 320,......
From the pattern, we see that the next term is equivalent to the previous multiplied by 0.5. This is known as a geometric progression GP. The nth term of a GP is given as
Tn = ar^ (n-1)
where a is the first term. Tn is the nth term and r is the common ratio
40 = 1280 * 0.5^n -1
40/1280 = 0.5^n -1
(1/2)^5 = (1/2)^n -1
Comparing the powers,
5 = n - 1
n = 5 + 1
= 6
It means that the cafeteria sell 40 slices in the 6th week if the pattern continues
